Adaptive Refinement and Nonlinear Fluid Problems.

Abstract

The research activity deals with theory and implementation of adaptive mesh refinement for finite element analysis of linear and nonlinear problems in mechanics. The theoretical ideas are based upon the use of residuals from the equilibrium equation and associated error bounds which relate the error in the solution to these residuals. The techniques are equally applicable to finite element applications in fluid and solid mechanics. The strategy of interweaving Newton iteration and adaptive refinement appears particularly effective for the nonlinear problems examined. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1979
Accession Number
ADA069830

Entities

People

  • Graham F. Carey

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Boundary Layer
  • Boundary Value Problems
  • Chemical Reactions
  • Complex Variables
  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Far Field
  • Finite Element Analysis
  • Flow Fields
  • Fluid Dynamics
  • Fluid Mechanics
  • Mach Number
  • Mechanics

Readers

  • Computational Fluid Dynamics (CFD)
  • Linear Algebra
  • Theoretical Analysis.